Answer:
x = 4
Step-by-step explanation:
An angle bisector divides an angle into two equal parts. This means that you can set the two parts equal to each other and solve for x.
8x + 35 = 11x + 23
(8x + 35) - 35 = (11x + 23) - 35
8x = 11x - 12
8x - 11 x = (11x - 12) - 11x
-3x = -12
(-3x)/-3 = -12/-3
x = 4
3n+(4n-15)=90
3n+4n-15=90
7n=105
n=105/7
n=15
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Angle LQK is 4n-15
If n=15
Angle LQK = 4(15) - 15
= 60 - 15
= 45
The car is speeding at a rate of 33.3mph
<h3>Speed and distance of an object</h3>
If a certain car going 60 mph can stop in 180 ft, then we can express this as:
To determine the speed for a car traveling at 100ft, we will have:
Take the ratio of the expression
60/x = 180/100
180x = 6000
x = 33.3mph
Hence the car is speeding at a rate of 33.3mph
learn more on speed here: brainly.com/question/4931057
Answer:
16.51
Step-by-step explanation:
In a parallelogram, the opposite angles are always equal in measure. So two of the angles in the parallelogram measure 39 degrees each.
The sum of angles of the parallelogram must be 360 degrees. Let the other two angles be x degree each. We can set up the following equation for the angles:
39 + 39 + x + x = 360
78 + 2x = 360
2x = 282
x = 141
This means, the other two angles measure 141 degree each. The shorter diagonal will be opposite to the shorter angle.
Hence, the diagonal opposite to the angle 39 degree will be the shorter one. A diagonal divides the parallelogram in two triangles. So we will have two sides and an included angle and we have to find the third side of the triangle which can be found using the law of cosines. Let the third side be c as shown in image below, using the law of cosines, we can write:

Thus the shorter diagonal will be 16.51 feet in measure.
When 5 is added to 3 more then a certain number, the result is 19
x + 3 + 5 = 19
x + 8 = 19
x = 19 - 8
x = 11 <== ur number